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Finding the Fourth Proportional to 524,880,695.10, 787,321,042.65 and 521,857,386.30

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Solution

The fourth proportional to 524,880,695.10, 787,321,042.65 and 521,857,386.30 is: 782,786,079.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,880,695.10 : 787,321,042.65 = 521,857,386.30 : x
  2. Step 2: Convert to fraction form
    524,880,695.10/787,321,042.65 = 521,857,386.30/x
  3. Step 3: Cross multiply
    524,880,695.10x = 787,321,042.65 × 521,857,386.30
  4. Step 4: Simplify right side
    524,880,695.10x = 410,869,301,496,319,808
  5. Step 5: Solve for x
    x = 410,869,301,496,319,808/524,880,695.10
  6. Step 6: Final answer
    x = 782,786,079.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.